This book introduces the basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on helping the reader to understand and construct proofs and write clear mathematics. The authors achieve this by exploring set theory, combinatorics and number theory, which include many fundamental mathematical ideas. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all time great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.
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Language Notes
Text: English (translation)
Original Language: German --This text refers to an out of print or unavailable edition of this title.
Original Language: German --This text refers to an out of print or unavailable edition of this title.
Book Description
The purpose of this book is to introduce the basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on helping the reader in understanding and constructing proofs and writing clear mathematics. Over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.
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First Sentence:
From the ancient beginnings of geometry until well into the nineteenth century it was almost universally accepted that the geometry of the space we live in is the only geometry conceivable by man. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Let Ham New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
From the ancient beginnings of geometry until well into the nineteenth century it was almost universally accepted that the geometry of the space we live in is the only geometry conceivable by man. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Let Ham New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 18
books:
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- Topics in Algebra by I. N. Herstein in Back Matter
- Projective geometry, by Oswald Veblen and John Wesley Young. (Michigan Historical Reprint) by Oswald Veblen in Back Matter
- Handbook of Incidence Geometry: Buildings and Foundations by F. Buekenhout in Back Matter
- Cipher Systems: The Protection of Communications by Henry Beker in Back Matter
- General Galois Geometries (Oxford Mathematical Monographs) by J. W. P. Hirschfeld in Back Matter
See all 18 books this book cites
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